Walk the line
You can see the user adapted his behavior on this cross walk by walking on the edge because the middle part was slippery. It is ironic that this is a designated area to walk and when it is wet or cold it becomes slippery. During these weather conditions are also the times that the pedestrian should stay in the lines because of lower visibility from the driver.
There has to be a road paint with texture. I wonder if you could just add sand like you do to regular paint to create a nonslip surface? I wonder if there is road paint that glows at night like those stars you put on your ceiling that are bright at night.